Number of nonequivalent monoids of order n in which the action of the unit group on the maximal ideal is nontrivial.

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`%I #2 Mar 31 2012 10:23:58
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`%S 0,0,0,2,5,58,428,5539,101082,9269715
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`%N Number of nonequivalent monoids of order n in which the action of the unit group on the maximal ideal is nontrivial.
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`%C Monoids are considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
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`%C The invertible elements form the unit group of the monoid, all remaining elements form the maximal ideal.
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`%H A. Distler and T. W. Kelsey, <a href="http://www.springerlink.com/content/ln41r0602m036u27/">The Monoids of Orders Eight, Nine & Ten</a>, Annals of Mathematics and Artificial Intelligence, 56 (2009), 3-25.
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`%Y Cf. A058133, A151823
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`%K hard,nonn
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`%O 1,4
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`%A _Andreas Distler_, Apr 10 2010
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